Find the LCM of 834, 336, 973, 472, 333 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 834, 336, 973, 472, 333. So, keep reading to learn more.
Given numbers are 834,336,973,472,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,336,973,472,333 is 305864496.
Find LCM of 834,336,973,472,333 with Prime Factorization
2 | 834, 336, 973, 472, 333 |
2 | 417, 168, 973, 236, 333 |
2 | 417, 84, 973, 118, 333 |
3 | 417, 42, 973, 59, 333 |
7 | 139, 14, 973, 59, 111 |
139 | 139, 2, 139, 59, 111 |
1, 2, 1, 59, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 139 x 1 x 2 x 1 x 59 x 111 = 305864496
Therefore, the lowest common multiple of 834,336,973,472,333 is 305864496.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
834 x 336 x 973 x 472 x 333 = 42855286263552
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
834 : 1, 2, 3, 6, 139, 278, 417, 834
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
973 : 1, 7, 139, 973
472 : 1, 2, 4, 8, 59, 118, 236, 472
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,336,973,472,333, is 1.
Now, the common factors can be found like this.
834:2x 3x 139
336:2x 2x 2x 2x 3x 7
973:7x 139
472:2x 2x 2x 59
333:3x 3x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 7x 139 = 140112
Therefore, the value for common factors is 140112.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 42855286263552/(1x140112)
LCM = 42855286263552/140112
LCM = 305864496
Thus, we can understand that the LCM of 834,336,973,472,333 is 305864496.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 834, 336, 973, 472, 333?
Answer: LCM of 834, 336, 973, 472, 333 is 305864496.
2. How to calculate the LCM of 834, 336, 973, 472, 333?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 834, 336, 973, 472, 333.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.